Question

Given g(x)=tan(x−π4), which of the following graphs has been reflected across the x-axis and translated 4 down?g(x)=−tan(x−π4)−4g(x)=tan(−x+π4)−4g(x)=tan(−x+π4)+4g(x)=−tan(x−π4)+4

Answer 1

Answer:
`g(x)=-\tan (x-(\pi)/(4))-4`Step-by-step explanation:

The given function is:

`g(x)=\tan (x-(\pi)/(4))`

The function g(x) is first reflected across the x-axis

That is, the function g(x) will be negated to become:

`g(x)=-\tan (x-(\pi)/(4))`

The second step is to translate the resulting function down by 4 units

The resulting function after translation by 4 units downwards is:

`g(x)=-\tan (x-(\pi)/(4))-4`